The points Q, R, S and T all lie on the same line segment, in that order, such that the
ratio of QR RS: ST is equal to 6:3:1. If QT = 10, find RS.

Answer:

all sides have different lengths

and the third angle measures 90⁰

Answer:

If the discrimination of a quadratic function is 13, then the function will have two distinct real roots.

Step-by-step explanation:

Given the quadratic function

\(y=ax^2+bx+c\)

where D = b²-4ac is called the discrimination of a quadratic function.

The discriminant D=b²-4ac indicates the type of roots the equation may have.

If D > 0, then the equation has two distinct real roots.

Given that the discrimination of a quadratic function is 13.

i.e. D = 13

Thus, we conclude that if the discrimination of a quadratic function is 13, then the function will have two distinct real roots.

The inequality which correctly supports Fabian's claim as described above is; 0.25 × 100 > 0.1 × 90.

The inequality which shows that Fabian's claim as described above is incorrect is; 0.25 × 100 > 0.1 × 1000.

First, in a bid to write the given word phrase which happens to be Fabian's claim as an algebraic expression; we have that;

Let x be the first number and let y be the second number.

Therefore, we have that;

( 25% × x ) > ( 10% × y )

0.25x > 0.1y

On this note, the complete inequality which supports Fabian's claim is when x = 100 and y = 90 so that we have;

0.25 × 100 > 0.1 × 90; 25 > 9 which holds true.

However, The inequality which shows that he is incorrect is; when x = 100 and y = 1000 so that we have;

0.25 × 100 > 0.1 × 1000; 25 > 100 which does not hold true.

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Answer:

x >100/17

plz mark brainliest

Answer:

\(P(B/C)=0.7\)

Step-by-step explanation:

From the question we are told that:

The probability that Bob and Chris go to the movies \(P(BnC)= 0.35.\)

The probability that Chris goes to the movies \(P(C)= 0.5\)

Generally the equation for the probability that Bob goes to the movies given that Chris goes P(B/C) is mathematically given by

 \(P(B/C)=\frac{ P(BnC)}{P(C)}\)

Therefore

 \(P(B/C)=\frac{0.35)}{0.5}\)

 \(P(B/C)=0.7\)

The expression which could not be used to calculate the total cost of book purchased by 27 students will be 7(20)+7(7) and 7(30)-7(7)  which is option (a) and (b) .

We have given the cost of the book $7 .

Total cost = Cost per book × Total number of students

                 = 7 × 27

                 =  189

(a) 7(20)+7(7) = 140 - 49

                     = 91

On simplifying the expression , we get 91 which is not equal to the total cost 189 . Hence , this expression does not represent the total cost.

(b) 7(30)-7(7) = 210 - 29

                     = 181

On simplifying the expression , we get 181 which is not equal to the total cost 189 . Hence , this expression does not represent the total cost.

(c) 7(30)-7(3) = 210 -21

                     = 189

On simplifying the expression , we get 189 which is equal to the total cost 189 . Hence , this expression represent the total cost.

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To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:

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The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

check pdf

Step-by-step explanation:

Answer: 162000

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

162000

\(\displaystyle\\Answer:\ (\frac{6}{125})^4\)

Step-by-step explanation:

\(\displaystyle\\(\frac{125}{6} )^{-4}=\\\\(\frac{6}{125})^{-(-4)}= \\\\(\frac{6}{125})^4\)

Neither statement "E and F are always independent" nor "E and F are always dependent" is correct for mutually exclusive events E and F with positive probabilities p(e)>0 and p(f)>0.

Events that are mutually exclusive cannot occur at the same time. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 2 on a fair die", These events cannot occur simultaneously since a 1 and a 2 cannot be rolled.

In probability theory, two events E and F are considered independent if the occurrence of one event has no effect on the probability of the other event occurring. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 6 on a fair die", these events are independent because the occurrence of one event (rolling a 1) does not affect the probability of the other event (rolling a 6) occurring.

In the case where events E and F are mutually exclusive, their occurrence does affect each other, as the occurrence of one event makes it impossible for the other event to occur. Therefore, the statement "E and F are always independent" is not correct. Similarly, the statement "E and F are always dependent" is also not correct because dependence is a different concept from mutual exclusiveness.

Therefore, "Neither of the above statements is correct" is the appropriate response.

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The complete question is:

Which of the following statements is correct if e and f are mutually exclusive and p(e)>0 and p(f)>0?

a) E and F are always independent

b) E and F are always dependent

c) Neither of the above statement is correct

Divide $66.99 by 3 = $22.33. Since the CD cost, twice as much as the Tape multiply $22.33 by 2 = $44.66 And the Tape is $22.33.

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The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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Answer:

$3,307.5

Step-by-step explanation:

It's 3000*1.05=3150

3150*1.05=3,307.5

Answer:

3472.875

Step-by-step explanation:

5% of 3000 is 150, therefore he spent 3150 in 2018.

5% of 3150 is 157.50 therefore he spent 3307.50 in 2019

5% of 3307.50 is 165.375 therefore he spent 3472,875 in 2020

Answer: Divide the volume of the bath tub by the rate at which the hose folks the bath tub

Time = 251/ 4.86

= 51.64 hours

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

trust me i am did the test aredy

Distance of upper bond and lower bond is 120,000 and 150,000 centimeter

Given:

Number of steps walk = 1500 steps

Each step count = 90 centimeters

Correction in each step = 10 cm nearest

Find:

Lower bound and upper bound for d

Computation:

Lower bound step length = 90 - 10

Lower bound step length = 80 centimeters

Upper bound step length = 90 + 10

Upper bound step length = 100 centimeters

Lower bound d = 1500 × 80

Lower bound d = 120,000 centimeters

Upper bound d = 1500 × 100

Upper bound d = 150,000 centimeters

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Answer:

$10 per hour

Step-by-step explanation:

As you can see, at (2, 20) the employee earns 20 dollars for 2 hours and at   (4, 40) we can see the employee earn $40 per 4 hours.  So we can find the slope of these two points to get the answer.

Slope formula y1-y2/x1-x2

so plug it in    

40-20/4-2 and we get 20/2 =10

Answer:

(C) ‍♂️‍♂️

Step-by-step explanation:

75° is the correct option

a.t.q. given above.

Answer:

  a.  False

  b.  True

  c.  True

  d.  True

  e.  False

Step-by-step explanation:

You want to know the truth value of various logical expressions when b = False, and x = 0.

An And (&&) expression is true if and only if all parts are true. An OR (||) expression is true if any part is true.

When 'b' is false, b&&__ will be false, and !b||__ will be true. This makes (a) and (e) false, and (d) true.

When x = 0, __||x==0 will be true, so (b) is true.

The And (&&) of expression (c) will only be true when both parts are true. For b = False and x = 0, both parts are true, so (c) is true.

   {a, b, c, d, e} = {False, True, True, True, False}

Answer:

Erm.

The game on robl. ox

Or real life?

Breaking out of prison is real life

In robl. ox, its also kinda like that, but you steal things

Step-by-step explanation:

Can I have brainest. Im trying to level up :3

Thanks!

Have a good day!

The result of the expression 20 - 6 is 14.

To solve the given expression, 20 - 6, and isolate the variable, we need to clarify whether there is an equation involved. However, in this case, the expression does not contain any variable to isolate, and it is not an equation that needs balancing. It is a straightforward arithmetic expression.

Step 1: Start with the given expression, 20 - 6.

Step 2: Evaluate the subtraction operation: 20 - 6 = 14.

Step 3: The simplified expression is now 14. However, since there is no variable present, there is no need to isolate any variable.

This means that when you subtract 6 from 20, the answer is 14. Remember that isolating a variable and balancing an equation are relevant when dealing with equations that involve variables. In this case, the expression is a simple subtraction operation, yielding a constant value of 14 as the answer.

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Answer:

x = 4i, − 4i

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x

x = 4i, − 4i

The missing value 'x' in the two-way relative frequency table is 0.36.

To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.

Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.

First, let's calculate the relative frequencies for each category:

Likes hockey: The total count in this row is 12 + 18 = 30.

Relative frequency of "Likes hockey" = 12/30 = 0.4

Relative frequency of "Doesn't like hockey" = 18/30 = 0.6

Likes baseball: The total count in this column is 12 + 14 = 26.

Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615

Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385

To ensure that the relative frequencies add up to 1, we can set up the following equations:

0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)

0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)

Simplifying the equations, we have:

x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36

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The triangle in option (a) is an equilateral triangle in option (b) is isosceles and the triangle in option (c) is a scalene triangle.

A triangle is a 3-sided shape occasionally referred to as a triangle. Every triangle has three sides and three angles, some of which may be the same.

An equilateral triangle is a triangle whose all sides are equal.

As below the triangle in option (a) with the purple marks has all sides are same thus it will be equilateral.

An isosceles triangle is a triangle whose two sides are the same.

In option (b) triangle the (blue marked) has two equal sides thus it will be isosceles.

A scalene triangle is a triangle with all unequal lengths in option (c) (green mark) all sides are unequal.

Hence "The triangle in option (a) is an equilateral triangle in option (b) is isosceles and the triangle in option (c) is a scalene triangle".

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The domain is the set of all values in the set (- ∞, ∞).

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a quadratic function as follows -

ax² + bx + c

For any quadratic equation (with vertex at origin), the value of [y] or the range is either the set of all positive values from 0 to infinity when the quadratic function open upwards and  the set of all negative values from 0 to -infinity when the quadratic function open downwards. The domain is the set of all values in the set (- ∞, ∞).

Therefore, the domain is the set of all values in the set (- ∞, ∞).

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{Question in english language is as follows -

How the domain of the quadratic function is determined.}

Answer:

Inductive reasoning

Step-by-step explanation:

I know that Molly is using inductive reasoning because she is collecting data from drawing and measuring the triangles to form a hypothesis. This hypothesis is whether or not there is a relationship between the largest angle and the largest side of a triangle.

Molly is using "Inductive Reasoning".

Inductive reasoning is a reasoning that is based on patterns you observe. If you observe a pattern in several tries, you can use inductive reasoning to decide the result of the next try, (although you have to be aware that the conclusion you reach this way may not be valid).

A conclusion you reach using inductive reasoning is called a "conjecture".  After measuring dozens of triangles, Molly has noticed a pattern, so she is ready to make a conjecture.

(It seems to me that a conjecture and a hypothesis are closely related.)

Now please arise from upon your knees.

Answer:

Below

Step-by-step explanation:

(x-10)^2 = 90     sqrt both sides

x-10  =  ± sqrt (90)

x  =   10 ± sqrt (90)